14200000122100 has 144 divisors (see below), whose sum is σ = 33272107948800. Its totient is φ = 5229216115200.

The previous prime is 14200000122029. The next prime is 14200000122103. The reversal of 14200000122100 is 122100000241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200000122103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1624523730 + ... + 1624532470.

It is an arithmetic number, because the mean of its divisors is an integer number (231056305200).

Almost surely, 2^{14200000122100} is an apocalyptic number.

14200000122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14200000122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16636053974400).

14200000122100 is an abundant number, since it is smaller than the sum of its proper divisors (19072107826700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14200000122100 is a wasteful number, since it uses less digits than its factorization.

14200000122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11930 (or 11923 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 14200000122100 its reverse (122100000241), we get a palindrome (14322100122341).

The spelling of 14200000122100 in words is "fourteen trillion, two hundred billion, one hundred twenty-two thousand, one hundred".